Multi-solitons in the model of an inhomogeneous optical fiber
This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients. By spectral analysis for Lax pair of the equation, a corresponding Riemann-Hilbert problem was formulated. By solving the Riemann-Hilbert problem wi...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241691 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590779613184000 |
|---|---|
| author | Jinfang Li Chunjiang Wang Li Zhang Jian Zhang |
| author_facet | Jinfang Li Chunjiang Wang Li Zhang Jian Zhang |
| author_sort | Jinfang Li |
| collection | DOAJ |
| description | This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients. By spectral analysis for Lax pair of the equation, a corresponding Riemann-Hilbert problem was formulated. By solving the Riemann-Hilbert problem with simple poles, the formula of multi-soliton solutions was derived. Finally, we considered a soliton control system and obtained the one-soliton and two-soliton. |
| format | Article |
| id | doaj-art-d94b7b52987d44f5b44b79a87b537f9e |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-d94b7b52987d44f5b44b79a87b537f9e2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912356453565410.3934/math.20241691Multi-solitons in the model of an inhomogeneous optical fiberJinfang Li0Chunjiang Wang1Li Zhang2Jian Zhang3School of Fundamental Education, Beijing Polytechnic College, Beijing 100042, ChinaV.C. & V.R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu 610068, ChinaSchool of Fundamental Education, Beijing Polytechnic College, Beijing 100042, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, ChinaThis paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients. By spectral analysis for Lax pair of the equation, a corresponding Riemann-Hilbert problem was formulated. By solving the Riemann-Hilbert problem with simple poles, the formula of multi-soliton solutions was derived. Finally, we considered a soliton control system and obtained the one-soliton and two-soliton.https://www.aimspress.com/article/doi/10.3934/math.20241691nonlinear schrödinger equationsoliton solutionsriemann-hilbert problemsoliton controloptical fibers |
| spellingShingle | Jinfang Li Chunjiang Wang Li Zhang Jian Zhang Multi-solitons in the model of an inhomogeneous optical fiber AIMS Mathematics nonlinear schrödinger equation soliton solutions riemann-hilbert problem soliton control optical fibers |
| title | Multi-solitons in the model of an inhomogeneous optical fiber |
| title_full | Multi-solitons in the model of an inhomogeneous optical fiber |
| title_fullStr | Multi-solitons in the model of an inhomogeneous optical fiber |
| title_full_unstemmed | Multi-solitons in the model of an inhomogeneous optical fiber |
| title_short | Multi-solitons in the model of an inhomogeneous optical fiber |
| title_sort | multi solitons in the model of an inhomogeneous optical fiber |
| topic | nonlinear schrödinger equation soliton solutions riemann-hilbert problem soliton control optical fibers |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241691 |
| work_keys_str_mv | AT jinfangli multisolitonsinthemodelofaninhomogeneousopticalfiber AT chunjiangwang multisolitonsinthemodelofaninhomogeneousopticalfiber AT lizhang multisolitonsinthemodelofaninhomogeneousopticalfiber AT jianzhang multisolitonsinthemodelofaninhomogeneousopticalfiber |